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The diffusion equation with piecewise smooth initial conditions

In this paper we consider an initial-value problem for diffusion equation in three dimensional Euclidean space. The initial value is a piecewise smooth function. To solve this problem we apply Fourier transform method and since Fourier integrals of a piecewise smooth function do not converge everyw...

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Main Authors: Ashurov, Ravshan, Butaev, Almaz
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2011
Online Access:http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf
http://psasir.upm.edu.my/id/eprint/12546/
http://einspem.upm.edu.my/journal/volume5.1.php
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spelling my.upm.eprints.125462015-05-27T07:45:54Z http://psasir.upm.edu.my/id/eprint/12546/ The diffusion equation with piecewise smooth initial conditions Ashurov, Ravshan Butaev, Almaz In this paper we consider an initial-value problem for diffusion equation in three dimensional Euclidean space. The initial value is a piecewise smooth function. To solve this problem we apply Fourier transform method and since Fourier integrals of a piecewise smooth function do not converge everywhere, we make use of Riesz summation method. Universiti Putra Malaysia Press 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf Ashurov, Ravshan and Butaev, Almaz (2011) The diffusion equation with piecewise smooth initial conditions. Malaysian Journal of Mathematical Sciences, 5 (1). pp. 101-110. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume5.1.php
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper we consider an initial-value problem for diffusion equation in three dimensional Euclidean space. The initial value is a piecewise smooth function. To solve this problem we apply Fourier transform method and since Fourier integrals of a piecewise smooth function do not converge everywhere, we make use of Riesz summation method.
format Article
author Ashurov, Ravshan
Butaev, Almaz
spellingShingle Ashurov, Ravshan
Butaev, Almaz
The diffusion equation with piecewise smooth initial conditions
author_facet Ashurov, Ravshan
Butaev, Almaz
author_sort Ashurov, Ravshan
title The diffusion equation with piecewise smooth initial conditions
title_short The diffusion equation with piecewise smooth initial conditions
title_full The diffusion equation with piecewise smooth initial conditions
title_fullStr The diffusion equation with piecewise smooth initial conditions
title_full_unstemmed The diffusion equation with piecewise smooth initial conditions
title_sort diffusion equation with piecewise smooth initial conditions
publisher Universiti Putra Malaysia Press
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/12546/1/7._Ravshan_Ashurov.pdf
http://psasir.upm.edu.my/id/eprint/12546/
http://einspem.upm.edu.my/journal/volume5.1.php
_version_ 1643825070782545920
score 13.211869

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